Barrett O'Neill Elementary Differential Geometry Academic Press Inc. 1966
( This was the set book for the Open University course M334 'Differential Geometry'; I have added the old OU course units to the back of the book after the Index )
Acrobat 7 Pdf 25.8 Mb.
Scanned by artmisa using Canon DR2580C + flatbed option
a e b
May 31, 2013
A good basic text
I used this book in the late 1960s, and it still sits in a carton on a shelf in the basement. It is good as a textbook, requiring very little in terms of prior mathematics, just basic calculus. Personally, I think that the author gave 2-forms only passing attention, concentrating on 1-forms. But his goal is the Gauss-Bonnet Theorem, and he is really interested in arbitrary surfaces embedded in Euclidean 3-space. And the path he takes needs 1-forms.